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        Module&nbsp;af
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<h1 class="epydoc">Source Code for <a href="peach.nn.af-module.html">Module peach.nn.af</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"># Peach - Computational Intelligence for Python</tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-comment"># Jose Alexandre Nalon</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-comment">#</tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-comment"># This file: nn/af.py</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-comment"># Activation functions and base class</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-comment"># Doc string, reStructuredText formatted:</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt id="link-0" class="py-name" targets="Variable peach.__doc__=peach-module.html#__doc__,Variable peach.fuzzy.__doc__=peach.fuzzy-module.html#__doc__,Variable peach.fuzzy.base.__doc__=peach.fuzzy.base-module.html#__doc__,Variable peach.fuzzy.cmeans.__doc__=peach.fuzzy.cmeans-module.html#__doc__,Variable peach.fuzzy.control.__doc__=peach.fuzzy.control-module.html#__doc__,Variable peach.fuzzy.defuzzy.__doc__=peach.fuzzy.defuzzy-module.html#__doc__,Variable peach.fuzzy.mf.__doc__=peach.fuzzy.mf-module.html#__doc__,Variable peach.fuzzy.norms.__doc__=peach.fuzzy.norms-module.html#__doc__,Variable peach.ga.__doc__=peach.ga-module.html#__doc__,Variable peach.ga.base.__doc__=peach.ga.base-module.html#__doc__,Variable peach.ga.chromosome.__doc__=peach.ga.chromosome-module.html#__doc__,Variable peach.ga.crossover.__doc__=peach.ga.crossover-module.html#__doc__,Variable peach.ga.fitness.__doc__=peach.ga.fitness-module.html#__doc__,Variable peach.ga.mutation.__doc__=peach.ga.mutation-module.html#__doc__,Variable peach.ga.selection.__doc__=peach.ga.selection-module.html#__doc__,Variable peach.nn.__doc__=peach.nn-module.html#__doc__,Variable peach.nn.af.__doc__=peach.nn.af-module.html#__doc__,Variable peach.nn.base.__doc__=peach.nn.base-module.html#__doc__,Variable peach.nn.kmeans.__doc__=peach.nn.kmeans-module.html#__doc__,Variable peach.nn.lrules.__doc__=peach.nn.lrules-module.html#__doc__,Variable peach.nn.mem.__doc__=peach.nn.mem-module.html#__doc__,Variable peach.nn.nnet.__doc__=peach.nn.nnet-module.html#__doc__,Variable peach.nn.rbfn.__doc__=peach.nn.rbfn-module.html#__doc__,Variable peach.optm.__doc__=peach.optm-module.html#__doc__,Variable peach.optm.base.__doc__=peach.optm.base-module.html#__doc__,Variable peach.optm.linear.__doc__=peach.optm.linear-module.html#__doc__,Variable peach.optm.multivar.__doc__=peach.optm.multivar-module.html#__doc__,Variable peach.optm.quasinewton.__doc__=peach.optm.quasinewton-module.html#__doc__,Variable peach.optm.stochastic.__doc__=peach.optm.stochastic-module.html#__doc__,Variable peach.pso.__doc__=peach.pso-module.html#__doc__,Variable peach.pso.acc.__doc__=peach.pso.acc-module.html#__doc__,Variable peach.pso.base.__doc__=peach.pso.base-module.html#__doc__,Variable peach.sa.__doc__=peach.sa-module.html#__doc__,Variable peach.sa.base.__doc__=peach.sa.base-module.html#__doc__,Variable peach.sa.neighbor.__doc__=peach.sa.neighbor-module.html#__doc__"><a title="peach.__doc__
peach.fuzzy.__doc__
peach.fuzzy.base.__doc__
peach.fuzzy.cmeans.__doc__
peach.fuzzy.control.__doc__
peach.fuzzy.defuzzy.__doc__
peach.fuzzy.mf.__doc__
peach.fuzzy.norms.__doc__
peach.ga.__doc__
peach.ga.base.__doc__
peach.ga.chromosome.__doc__
peach.ga.crossover.__doc__
peach.ga.fitness.__doc__
peach.ga.mutation.__doc__
peach.ga.selection.__doc__
peach.nn.__doc__
peach.nn.af.__doc__
peach.nn.base.__doc__
peach.nn.kmeans.__doc__
peach.nn.lrules.__doc__
peach.nn.mem.__doc__
peach.nn.nnet.__doc__
peach.nn.rbfn.__doc__
peach.optm.__doc__
peach.optm.base.__doc__
peach.optm.linear.__doc__
peach.optm.multivar.__doc__
peach.optm.quasinewton.__doc__
peach.optm.stochastic.__doc__
peach.pso.__doc__
peach.pso.acc.__doc__
peach.pso.base.__doc__
peach.sa.__doc__
peach.sa.base.__doc__
peach.sa.neighbor.__doc__" class="py-name" href="#" onclick="return doclink('link-0', '__doc__', 'link-0');">__doc__</a></tt> <tt class="py-op">=</tt> <tt class="py-docstring">"""</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">Base activation functions and base class</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">Activation functions define if a neuron is activated or not. There are a lot of</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring">different definitions for activation functions in the literature, and this</tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">sub-package implements some of them. An activation function is defined by its</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"><tt class="py-docstring">response and its derivative. Being conveniently defined as classes, it is</tt> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-docstring">possible to define a custom derivative method.</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L19"></a><tt class="py-lineno"> 19</tt>  <tt class="py-line"><tt class="py-docstring">In this package, also, there is a base class that should be subclassed if you</tt> </tt>
<a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line"><tt class="py-docstring">want to define your own activation function. This class, however, can be</tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"><tt class="py-docstring">instantiated with a standard Python function as an initialization parameter, and</tt> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line"><tt class="py-docstring">it is adjusted to work with the internals of the package.</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line"><tt class="py-docstring">If the base class is instantiated, then the function should take a real number</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line"><tt class="py-docstring">as input, and return a real number. The response of the function determines if</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line"><tt class="py-docstring">the neuron is activated or not.</tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line"> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line"><tt class="py-keyword">from</tt> <tt class="py-name">numpy</tt> <tt class="py-keyword">import</tt> <tt class="py-name">vectorize</tt><tt class="py-op">,</tt> <tt class="py-name">array</tt><tt class="py-op">,</tt> <tt class="py-name">where</tt><tt class="py-op">,</tt> <tt class="py-name">ones</tt><tt class="py-op">,</tt> <tt class="py-name">select</tt><tt class="py-op">,</tt> <tt id="link-1" class="py-name" targets="Variable peach.fuzzy.control.exp=peach.fuzzy.control-module.html#exp,Variable peach.nn.mem.exp=peach.nn.mem-module.html#exp,Variable peach.nn.nnet.exp=peach.nn.nnet-module.html#exp,Variable peach.nn.rbfn.exp=peach.nn.rbfn-module.html#exp"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-1', 'exp', 'link-1');">exp</a></tt><tt class="py-op">,</tt> <tt id="link-2" class="py-name" targets="Variable peach.fuzzy.control.pi=peach.fuzzy.control-module.html#pi,Variable peach.nn.mem.pi=peach.nn.mem-module.html#pi,Variable peach.nn.nnet.pi=peach.nn.nnet-module.html#pi,Variable peach.nn.rbfn.pi=peach.nn.rbfn-module.html#pi"><a title="peach.fuzzy.control.pi
peach.nn.mem.pi
peach.nn.nnet.pi
peach.nn.rbfn.pi" class="py-name" href="#" onclick="return doclink('link-2', 'pi', 'link-2');">pi</a></tt><tt class="py-op">,</tt> <tt id="link-3" class="py-name" targets="Variable peach.nn.mem.arctan=peach.nn.mem-module.html#arctan,Variable peach.nn.nnet.arctan=peach.nn.nnet-module.html#arctan,Variable peach.nn.rbfn.arctan=peach.nn.rbfn-module.html#arctan"><a title="peach.nn.mem.arctan
peach.nn.nnet.arctan
peach.nn.rbfn.arctan" class="py-name" href="#" onclick="return doclink('link-3', 'arctan', 'link-3');">arctan</a></tt><tt class="py-op">,</tt> <tt id="link-4" class="py-name" targets="Variable peach.nn.mem.tanh=peach.nn.mem-module.html#tanh,Variable peach.nn.nnet.tanh=peach.nn.nnet-module.html#tanh,Variable peach.nn.rbfn.tanh=peach.nn.rbfn-module.html#tanh"><a title="peach.nn.mem.tanh
peach.nn.nnet.tanh
peach.nn.rbfn.tanh" class="py-name" href="#" onclick="return doclink('link-4', 'tanh', 'link-4');">tanh</a></tt><tt class="py-op">,</tt> <tt id="link-5" class="py-name" targets="Variable peach.nn.mem.cosh=peach.nn.mem-module.html#cosh,Variable peach.nn.nnet.cosh=peach.nn.nnet-module.html#cosh,Variable peach.nn.rbfn.cosh=peach.nn.rbfn-module.html#cosh"><a title="peach.nn.mem.cosh
peach.nn.nnet.cosh
peach.nn.rbfn.cosh" class="py-name" href="#" onclick="return doclink('link-5', 'cosh', 'link-5');">cosh</a></tt><tt class="py-op">,</tt> <tt id="link-6" class="py-name" targets="Variable peach.nn.mem.sign=peach.nn.mem-module.html#sign,Variable peach.nn.nnet.sign=peach.nn.nnet-module.html#sign,Variable peach.nn.rbfn.sign=peach.nn.rbfn-module.html#sign,Variable peach.pso.base.sign=peach.pso.base-module.html#sign"><a title="peach.nn.mem.sign
peach.nn.nnet.sign
peach.nn.rbfn.sign
peach.pso.base.sign" class="py-name" href="#" onclick="return doclink('link-6', 'sign', 'link-6');">sign</a></tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line"><tt class="py-keyword">import</tt> <tt class="py-name">types</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line"> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line"> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line"><tt class="py-comment"># Classes</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Activation"></a><div id="Activation-def"><a name="L38"></a><tt class="py-lineno"> 38</tt> <a class="py-toggle" href="#" id="Activation-toggle" onclick="return toggle('Activation');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.Activation-class.html">Activation</a><tt class="py-op">(</tt><tt class="py-base-class">object</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Activation-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Activation-expanded"><a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line"><tt class="py-docstring">    Base class for activation functions.</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line"><tt class="py-docstring">    This class can be used as base for activation functions. A subclass should</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-docstring">    have at least three methods, described below:</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"><tt class="py-docstring">      __init__</tt> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line"><tt class="py-docstring">        This method should be used to configure the function. In general, some</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"><tt class="py-docstring">        parameters to change the behaviour of a simple function is passed. In a</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line"><tt class="py-docstring">        subclass, the ``__init__`` method should call the mother class</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line"><tt class="py-docstring">        initialization procedure.</tt> </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line"><tt class="py-docstring">      __call__</tt> </tt>
<a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line"><tt class="py-docstring">        The ``__call__`` interface is the function call. It should receive a</tt> </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt class="py-docstring">        *vector* of real numbers and return a *vector* of real numbers. Using</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"><tt class="py-docstring">        the capabilities of the ``numpy`` module will help a lot. In case you</tt> </tt>
<a name="L54"></a><tt class="py-lineno"> 54</tt>  <tt class="py-line"><tt class="py-docstring">        don't know how to use, maybe instantiating this class instead will work</tt> </tt>
<a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line"><tt class="py-docstring">        better (see below).</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line"><tt class="py-docstring">      derivative</tt> </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line"><tt class="py-docstring">        This method implements the derivative of the activation function. It is</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-docstring">        used in the learning methods. If one is not provided (but remember to</tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line"><tt class="py-docstring">        call the superclass ``__init__`` so that it is created).</tt> </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Activation.__init__"></a><div id="Activation.__init__-def"><a name="L61"></a><tt class="py-lineno"> 61</tt> <a class="py-toggle" href="#" id="Activation.__init__-toggle" onclick="return toggle('Activation.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Activation-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">f</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">df</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Activation.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Activation.__init__-expanded"><a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the activation function.</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line"><tt class="py-docstring">        Instantiating this class creates and adjusts a standard Python function</tt> </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line"><tt class="py-docstring">        to work with layers of neurons.</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"><tt class="py-docstring">          f</tt> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line"><tt class="py-docstring">            The activation function. It can be created as a lambda function or</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line"><tt class="py-docstring">            any other method, but it should take a real value, corresponding to</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line"><tt class="py-docstring">            the activation potential of a neuron, and return a real value,</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line"><tt class="py-docstring">            corresponding to its activation. Defaults to ``None``, if none is</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line"><tt class="py-docstring">            given, the identity function is used.</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line"><tt class="py-docstring">          df</tt> </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line"><tt class="py-docstring">            The derivative of the above function. It can be defined as above, or</tt> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line"><tt class="py-docstring">            not given. If not given, an estimate is calculated based on the</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line"><tt class="py-docstring">            given function. Defaults to ``None``.</tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">isinstance</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">,</tt> <tt class="py-name">types</tt><tt class="py-op">.</tt><tt class="py-name">FunctionType</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__f</tt> <tt class="py-op">=</tt> <tt class="py-name">vectorize</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">        <tt class="py-keyword">elif</tt> <tt class="py-name">f</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__f</tt> <tt class="py-op">=</tt> <tt class="py-keyword">lambda</tt> <tt id="link-7" class="py-name" targets="Variable peach.fuzzy.cmeans.FuzzyCMeans.x=peach.fuzzy.cmeans.FuzzyCMeans-class.html#x,Variable peach.optm.linear.Direct1D.x=peach.optm.linear.Direct1D-class.html#x,Variable peach.optm.linear.GoldenRule.x=peach.optm.linear.GoldenRule-class.html#x,Variable peach.optm.linear.Interpolation.x=peach.optm.linear.Interpolation-class.html#x,Variable peach.optm.multivar.Direct.x=peach.optm.multivar.Direct-class.html#x,Variable peach.optm.multivar.Gradient.x=peach.optm.multivar.Gradient-class.html#x,Variable peach.optm.multivar.MomentumGradient.x=peach.optm.multivar.MomentumGradient-class.html#x,Variable peach.optm.multivar.Newton.x=peach.optm.multivar.Newton-class.html#x,Variable peach.optm.quasinewton.DFP.x=peach.optm.quasinewton.DFP-class.html#x,Variable peach.optm.quasinewton.SR1.x=peach.optm.quasinewton.SR1-class.html#x,Variable peach.sa.base.BinarySA.x=peach.sa.base.BinarySA-class.html#x,Variable peach.sa.base.ContinuousSA.x=peach.sa.base.ContinuousSA-class.html#x"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-7', 'x', 'link-7');">x</a></tt><tt class="py-op">:</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt id="link-8" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-8', 'x', 'link-7');">x</a></tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt><tt class="py-op">=</tt><tt class="py-name">float</tt><tt class="py-op">)</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line">            <tt class="py-keyword">raise</tt> <tt class="py-name">ValueError</tt><tt class="py-op">,</tt> <tt class="py-string">'invalid function'</tt> </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line">        <tt class="py-keyword">if</tt> <tt class="py-name">df</tt> <tt class="py-keyword">is</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-9" class="py-name" targets="Method peach.nn.af.Activation.derivative()=peach.nn.af.Activation-class.html#derivative,Method peach.nn.af.ArcTan.derivative()=peach.nn.af.ArcTan-class.html#derivative,Method peach.nn.af.Gaussian.derivative()=peach.nn.af.Gaussian-class.html#derivative,Method peach.nn.af.Linear.derivative()=peach.nn.af.Linear-class.html#derivative,Method peach.nn.af.Ramp.derivative()=peach.nn.af.Ramp-class.html#derivative,Method peach.nn.af.Sigmoid.derivative()=peach.nn.af.Sigmoid-class.html#derivative,Method peach.nn.af.Signum.derivative()=peach.nn.af.Signum-class.html#derivative,Method peach.nn.af.TanH.derivative()=peach.nn.af.TanH-class.html#derivative,Method peach.nn.af.Threshold.derivative()=peach.nn.af.Threshold-class.html#derivative"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-9', 'derivative', 'link-9');">derivative</a></tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line">            <tt class="py-string">'''An alias to the derivative of the function.'''</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">        <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">df</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">            <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-10" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-10', 'derivative', 'link-9');">derivative</a></tt> <tt class="py-op">=</tt> <tt class="py-name">df</tt> </tt>
</div><a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line"> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line"> </tt>
<a name="Activation.__call__"></a><div id="Activation.__call__-def"><a name="L94"></a><tt class="py-lineno"> 94</tt> <a class="py-toggle" href="#" id="Activation.__call__-toggle" onclick="return toggle('Activation.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Activation-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Activation.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Activation.__call__-expanded"><a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__f</tt><tt class="py-op">(</tt><tt id="link-11" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-11', 'x', 'link-7');">x</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L110"></a><tt class="py-lineno">110</tt>  <tt class="py-line"> </tt>
<a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line"> </tt>
<a name="Activation.derivative"></a><div id="Activation.derivative-def"><a name="L112"></a><tt class="py-lineno">112</tt> <a class="py-toggle" href="#" id="Activation.derivative-toggle" onclick="return toggle('Activation.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Activation-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">,</tt> <tt class="py-param">dx</tt><tt class="py-op">=</tt><tt class="py-number">5.0e-5</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Activation.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Activation.derivative-expanded"><a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line"><tt class="py-docstring">        An estimate of the derivative of the activation function.</tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-docstring">        This method estimates the derivative using difference equations. This is</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-docstring">        a simple estimate, but efficient nonetheless.</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or vector of real numbers representing the point over</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-docstring">            which the derivative is to be calculated.</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-docstring">          dx</tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-docstring">            The value of the interval of the estimate. The smaller this number</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-docstring">            is, the better. However, if made too small, the precision is not</tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-docstring">            enough to avoid errors. This defaults to 5e-5, which is the values</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line"><tt class="py-docstring">            that gives the best results.</tt> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line"><tt class="py-docstring">          The value of the derivative over the given point.</tt> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">(</tt><tt id="link-12" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-12', 'x', 'link-7');">x</a></tt><tt class="py-op">+</tt><tt class="py-name">dx</tt><tt class="py-op">/</tt><tt class="py-number">2.0</tt><tt class="py-op">)</tt><tt class="py-op">-</tt><tt class="py-name">self</tt><tt class="py-op">(</tt><tt id="link-13" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-13', 'x', 'link-7');">x</a></tt><tt class="py-op">-</tt><tt class="py-name">dx</tt><tt class="py-op">/</tt><tt class="py-number">2.0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-name">dx</tt> </tt>
</div></div><a name="L133"></a><tt class="py-lineno">133</tt>  <tt class="py-line"> </tt>
<a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line"> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Threshold"></a><div id="Threshold-def"><a name="L136"></a><tt class="py-lineno">136</tt> <a class="py-toggle" href="#" id="Threshold-toggle" onclick="return toggle('Threshold');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.Threshold-class.html">Threshold</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Threshold-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Threshold-expanded"><a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-docstring">    Threshold activation function.</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Threshold.__init__"></a><div id="Threshold.__init__-def"><a name="L140"></a><tt class="py-lineno">140</tt> <a class="py-toggle" href="#" id="Threshold.__init__-toggle" onclick="return toggle('Threshold.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Threshold-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">threshold</tt><tt class="py-op">=</tt><tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-param">amplitude</tt><tt class="py-op">=</tt><tt class="py-number">1.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Threshold.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Threshold.__init__-expanded"><a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the object.</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line"><tt class="py-docstring">          threshold</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line"><tt class="py-docstring">            The threshold value. If the value of the input is lower than this,</tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line"><tt class="py-docstring">            the function is 0, otherwise, it is the given ``amplitude``.</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line"><tt class="py-docstring">          amplitude</tt> </tt>
<a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line"><tt class="py-docstring">            The maximum value of the function.</tt> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__t</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">threshold</tt><tt class="py-op">)</tt> </tt>
<a name="L152"></a><tt class="py-lineno">152</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">amplitude</tt><tt class="py-op">)</tt> </tt>
<a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-14" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-14', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line"> </tt>
<a name="Threshold.__call__"></a><div id="Threshold.__call__-def"><a name="L155"></a><tt class="py-lineno">155</tt> <a class="py-toggle" href="#" id="Threshold.__call__-toggle" onclick="return toggle('Threshold.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Threshold-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Threshold.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Threshold.__call__-expanded"><a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">where</tt><tt class="py-op">(</tt><tt id="link-15" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-15', 'x', 'link-7');">x</a></tt> <tt class="py-op">&gt;=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__t</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
</div><a name="L171"></a><tt class="py-lineno">171</tt>  <tt class="py-line"> </tt>
<a name="Threshold.derivative"></a><div id="Threshold.derivative-def"><a name="L172"></a><tt class="py-lineno">172</tt> <a class="py-toggle" href="#" id="Threshold.derivative-toggle" onclick="return toggle('Threshold.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Threshold-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Threshold.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Threshold.derivative-expanded"><a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative. Technically, this function doesn't have a</tt> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line"><tt class="py-docstring">        derivative, but making it equals to 1, this can be used in learning</tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line"><tt class="py-docstring">        algorithms.</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line">        <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">ones</tt><tt class="py-op">(</tt><tt id="link-16" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-16', 'x', 'link-7');">x</a></tt><tt class="py-op">.</tt><tt id="link-17" class="py-name" targets="Variable peach.nn.base.Layer.shape=peach.nn.base.Layer-class.html#shape"><a title="peach.nn.base.Layer.shape" class="py-name" href="#" onclick="return doclink('link-17', 'shape', 'link-17');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">        <tt class="py-keyword">except</tt> <tt class="py-name">AttributeError</tt><tt class="py-op">:</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-number">1.0</tt> </tt>
</div></div><a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line"> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line"><tt class="py-name">Step</tt> <tt class="py-op">=</tt> <tt id="link-18" class="py-name" targets="Class peach.nn.af.Threshold=peach.nn.af.Threshold-class.html"><a title="peach.nn.af.Threshold" class="py-name" href="#" onclick="return doclink('link-18', 'Threshold', 'link-18');">Threshold</a></tt> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line"><tt class="py-string">'''Alias to ``Threshold``'''</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line"> </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line"> </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Linear"></a><div id="Linear-def"><a name="L197"></a><tt class="py-lineno">197</tt> <a class="py-toggle" href="#" id="Linear-toggle" onclick="return toggle('Linear');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.Linear-class.html">Linear</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Linear-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Linear-expanded"><a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line"><tt class="py-docstring">    Identity activation function</tt> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Linear.__init__"></a><div id="Linear.__init__-def"><a name="L201"></a><tt class="py-lineno">201</tt> <a class="py-toggle" href="#" id="Linear.__init__-toggle" onclick="return toggle('Linear.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Linear-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Linear.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Linear.__init__-expanded"><a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the function</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-19" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-19', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line"> </tt>
<a name="Linear.__call__"></a><div id="Linear.__call__-def"><a name="L207"></a><tt class="py-lineno">207</tt> <a class="py-toggle" href="#" id="Linear.__call__-toggle" onclick="return toggle('Linear.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Linear-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Linear.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Linear.__call__-expanded"><a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L218"></a><tt class="py-lineno">218</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt id="link-20" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-20', 'x', 'link-7');">x</a></tt><tt class="py-op">,</tt> <tt class="py-name">dtype</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">)</tt> </tt>
</div><a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line"> </tt>
<a name="Linear.derivative"></a><div id="Linear.derivative-def"><a name="L224"></a><tt class="py-lineno">224</tt> <a class="py-toggle" href="#" id="Linear.derivative-toggle" onclick="return toggle('Linear.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Linear-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Linear.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Linear.derivative-expanded"><a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative.</tt> </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L237"></a><tt class="py-lineno">237</tt>  <tt class="py-line">        <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">ones</tt><tt class="py-op">(</tt><tt id="link-21" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-21', 'x', 'link-7');">x</a></tt><tt class="py-op">.</tt><tt id="link-22" class="py-name"><a title="peach.nn.base.Layer.shape" class="py-name" href="#" onclick="return doclink('link-22', 'shape', 'link-17');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">        <tt class="py-keyword">except</tt> <tt class="py-name">AttributeError</tt><tt class="py-op">:</tt> </tt>
<a name="L240"></a><tt class="py-lineno">240</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-number">1.0</tt> </tt>
</div></div><a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line"> </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line"><tt class="py-name">Identity</tt> <tt class="py-op">=</tt> <tt id="link-23" class="py-name" targets="Class peach.nn.af.Linear=peach.nn.af.Linear-class.html"><a title="peach.nn.af.Linear" class="py-name" href="#" onclick="return doclink('link-23', 'Linear', 'link-23');">Linear</a></tt> </tt>
<a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line"><tt class="py-string">'''An alias to ``Linear``'''</tt> </tt>
<a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line"> </tt>
<a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line"> </tt>
<a name="L246"></a><tt class="py-lineno">246</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Ramp"></a><div id="Ramp-def"><a name="L247"></a><tt class="py-lineno">247</tt> <a class="py-toggle" href="#" id="Ramp-toggle" onclick="return toggle('Ramp');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.Ramp-class.html">Ramp</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Ramp-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Ramp-expanded"><a name="L248"></a><tt class="py-lineno">248</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L249"></a><tt class="py-lineno">249</tt>  <tt class="py-line"><tt class="py-docstring">    Ramp activation function</tt> </tt>
<a name="L250"></a><tt class="py-lineno">250</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Ramp.__init__"></a><div id="Ramp.__init__-def"><a name="L251"></a><tt class="py-lineno">251</tt> <a class="py-toggle" href="#" id="Ramp.__init__-toggle" onclick="return toggle('Ramp.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Ramp-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">p0</tt><tt class="py-op">=</tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-number">0.5</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt><tt class="py-op">,</tt> <tt class="py-param">p1</tt><tt class="py-op">=</tt><tt class="py-op">(</tt><tt class="py-number">0.5</tt><tt class="py-op">,</tt> <tt class="py-number">1.0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Ramp.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Ramp.__init__-expanded"><a name="L252"></a><tt class="py-lineno">252</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L253"></a><tt class="py-lineno">253</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the object.</tt> </tt>
<a name="L254"></a><tt class="py-lineno">254</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L255"></a><tt class="py-lineno">255</tt>  <tt class="py-line"><tt class="py-docstring">        Two points are needed to set this function. They are used to determine</tt> </tt>
<a name="L256"></a><tt class="py-lineno">256</tt>  <tt class="py-line"><tt class="py-docstring">        where the ramp begins and where it ends.</tt> </tt>
<a name="L257"></a><tt class="py-lineno">257</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L258"></a><tt class="py-lineno">258</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L259"></a><tt class="py-lineno">259</tt>  <tt class="py-line"><tt class="py-docstring">          p0</tt> </tt>
<a name="L260"></a><tt class="py-lineno">260</tt>  <tt class="py-line"><tt class="py-docstring">            The starting point, given as a tuple ``(x0, y0)``. For values of the</tt> </tt>
<a name="L261"></a><tt class="py-lineno">261</tt>  <tt class="py-line"><tt class="py-docstring">            input below ``x0``, the function returns ``y0``. Defaults to</tt> </tt>
<a name="L262"></a><tt class="py-lineno">262</tt>  <tt class="py-line"><tt class="py-docstring">            ``(-0.5, 0.0)``.</tt> </tt>
<a name="L263"></a><tt class="py-lineno">263</tt>  <tt class="py-line"><tt class="py-docstring">          p1</tt> </tt>
<a name="L264"></a><tt class="py-lineno">264</tt>  <tt class="py-line"><tt class="py-docstring">            The ending point, given as a tuple ``(x1, y1)``. For values of the</tt> </tt>
<a name="L265"></a><tt class="py-lineno">265</tt>  <tt class="py-line"><tt class="py-docstring">            input above ``x1``, the function returns ``y1``. Defaults to</tt> </tt>
<a name="L266"></a><tt class="py-lineno">266</tt>  <tt class="py-line"><tt class="py-docstring">            ``(0.5, 1.0)``.</tt> </tt>
<a name="L267"></a><tt class="py-lineno">267</tt>  <tt class="py-line"><tt class="py-docstring">         '''</tt> </tt>
<a name="L268"></a><tt class="py-lineno">268</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">p0</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L269"></a><tt class="py-lineno">269</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">p0</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L270"></a><tt class="py-lineno">270</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">p1</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L271"></a><tt class="py-lineno">271</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y1</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">p1</tt><tt class="py-op">[</tt><tt class="py-number">1</tt><tt class="py-op">]</tt><tt class="py-op">)</tt> </tt>
<a name="L272"></a><tt class="py-lineno">272</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y1</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y0</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> </tt>
<a name="L273"></a><tt class="py-lineno">273</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-24" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-24', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L274"></a><tt class="py-lineno">274</tt>  <tt class="py-line"> </tt>
<a name="Ramp.__call__"></a><div id="Ramp.__call__-def"><a name="L275"></a><tt class="py-lineno">275</tt> <a class="py-toggle" href="#" id="Ramp.__call__-toggle" onclick="return toggle('Ramp.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Ramp-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Ramp.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Ramp.__call__-expanded"><a name="L276"></a><tt class="py-lineno">276</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L277"></a><tt class="py-lineno">277</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L278"></a><tt class="py-lineno">278</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L279"></a><tt class="py-lineno">279</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L280"></a><tt class="py-lineno">280</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L281"></a><tt class="py-lineno">281</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L282"></a><tt class="py-lineno">282</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L283"></a><tt class="py-lineno">283</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L284"></a><tt class="py-lineno">284</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L285"></a><tt class="py-lineno">285</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L286"></a><tt class="py-lineno">286</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L287"></a><tt class="py-lineno">287</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L288"></a><tt class="py-lineno">288</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L289"></a><tt class="py-lineno">289</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L290"></a><tt class="py-lineno">290</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-25" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-25', 'x', 'link-7');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-26" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-26', 'x', 'link-7');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L291"></a><tt class="py-lineno">291</tt>  <tt class="py-line">                      <tt class="py-op">[</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y0</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt id="link-27" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-27', 'x', 'link-7');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y0</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L292"></a><tt class="py-lineno">292</tt>  <tt class="py-line">                      <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__y1</tt><tt class="py-op">)</tt> </tt>
</div><a name="L293"></a><tt class="py-lineno">293</tt>  <tt class="py-line"> </tt>
<a name="Ramp.derivative"></a><div id="Ramp.derivative-def"><a name="L294"></a><tt class="py-lineno">294</tt> <a class="py-toggle" href="#" id="Ramp.derivative-toggle" onclick="return toggle('Ramp.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Ramp-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Ramp.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Ramp.derivative-expanded"><a name="L295"></a><tt class="py-lineno">295</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L296"></a><tt class="py-lineno">296</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative.</tt> </tt>
<a name="L297"></a><tt class="py-lineno">297</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L298"></a><tt class="py-lineno">298</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L299"></a><tt class="py-lineno">299</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L300"></a><tt class="py-lineno">300</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L301"></a><tt class="py-lineno">301</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L302"></a><tt class="py-lineno">302</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L303"></a><tt class="py-lineno">303</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L304"></a><tt class="py-lineno">304</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L305"></a><tt class="py-lineno">305</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L306"></a><tt class="py-lineno">306</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L307"></a><tt class="py-lineno">307</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">select</tt><tt class="py-op">(</tt><tt class="py-op">[</tt> <tt id="link-28" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-28', 'x', 'link-7');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">,</tt> <tt id="link-29" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-29', 'x', 'link-7');">x</a></tt> <tt class="py-op">&lt;</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x1</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> </tt>
<a name="L308"></a><tt class="py-lineno">308</tt>  <tt class="py-line">                      <tt class="py-op">[</tt> <tt class="py-number">0.0</tt><tt class="py-op">,</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">]</tt><tt class="py-op">,</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L309"></a><tt class="py-lineno">309</tt>  <tt class="py-line"> </tt>
<a name="L310"></a><tt class="py-lineno">310</tt>  <tt class="py-line"> </tt>
<a name="L311"></a><tt class="py-lineno">311</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Sigmoid"></a><div id="Sigmoid-def"><a name="L312"></a><tt class="py-lineno">312</tt> <a class="py-toggle" href="#" id="Sigmoid-toggle" onclick="return toggle('Sigmoid');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.Sigmoid-class.html">Sigmoid</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Sigmoid-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Sigmoid-expanded"><a name="L313"></a><tt class="py-lineno">313</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L314"></a><tt class="py-lineno">314</tt>  <tt class="py-line"><tt class="py-docstring">    Sigmoid activation function</tt> </tt>
<a name="L315"></a><tt class="py-lineno">315</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Sigmoid.__init__"></a><div id="Sigmoid.__init__-def"><a name="L316"></a><tt class="py-lineno">316</tt> <a class="py-toggle" href="#" id="Sigmoid.__init__-toggle" onclick="return toggle('Sigmoid.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Sigmoid-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Sigmoid.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Sigmoid.__init__-expanded"><a name="L317"></a><tt class="py-lineno">317</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L318"></a><tt class="py-lineno">318</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the object.</tt> </tt>
<a name="L319"></a><tt class="py-lineno">319</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L320"></a><tt class="py-lineno">320</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L321"></a><tt class="py-lineno">321</tt>  <tt class="py-line"><tt class="py-docstring">          a</tt> </tt>
<a name="L322"></a><tt class="py-lineno">322</tt>  <tt class="py-line"><tt class="py-docstring">            The slope of the function in the center ``x0``. Defaults to 1.0.</tt> </tt>
<a name="L323"></a><tt class="py-lineno">323</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L324"></a><tt class="py-lineno">324</tt>  <tt class="py-line"><tt class="py-docstring">            The center of the sigmoid. Defaults to 0.0.</tt> </tt>
<a name="L325"></a><tt class="py-lineno">325</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L326"></a><tt class="py-lineno">326</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
<a name="L327"></a><tt class="py-lineno">327</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L328"></a><tt class="py-lineno">328</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-30" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-30', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L329"></a><tt class="py-lineno">329</tt>  <tt class="py-line"> </tt>
<a name="Sigmoid.__call__"></a><div id="Sigmoid.__call__-def"><a name="L330"></a><tt class="py-lineno">330</tt> <a class="py-toggle" href="#" id="Sigmoid.__call__-toggle" onclick="return toggle('Sigmoid.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Sigmoid-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Sigmoid.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Sigmoid.__call__-expanded"><a name="L331"></a><tt class="py-lineno">331</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L332"></a><tt class="py-lineno">332</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L333"></a><tt class="py-lineno">333</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L334"></a><tt class="py-lineno">334</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L335"></a><tt class="py-lineno">335</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L336"></a><tt class="py-lineno">336</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L337"></a><tt class="py-lineno">337</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L338"></a><tt class="py-lineno">338</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L339"></a><tt class="py-lineno">339</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L340"></a><tt class="py-lineno">340</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L341"></a><tt class="py-lineno">341</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L342"></a><tt class="py-lineno">342</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L343"></a><tt class="py-lineno">343</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L344"></a><tt class="py-lineno">344</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L345"></a><tt class="py-lineno">345</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-number">1.0</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">+</tt> <tt id="link-31" class="py-name"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-31', 'exp', 'link-1');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt id="link-32" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-32', 'x', 'link-7');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L346"></a><tt class="py-lineno">346</tt>  <tt class="py-line"> </tt>
<a name="Sigmoid.derivative"></a><div id="Sigmoid.derivative-def"><a name="L347"></a><tt class="py-lineno">347</tt> <a class="py-toggle" href="#" id="Sigmoid.derivative-toggle" onclick="return toggle('Sigmoid.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Sigmoid-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Sigmoid.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Sigmoid.derivative-expanded"><a name="L348"></a><tt class="py-lineno">348</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L349"></a><tt class="py-lineno">349</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative.</tt> </tt>
<a name="L350"></a><tt class="py-lineno">350</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L351"></a><tt class="py-lineno">351</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L352"></a><tt class="py-lineno">352</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L353"></a><tt class="py-lineno">353</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L354"></a><tt class="py-lineno">354</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L355"></a><tt class="py-lineno">355</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L356"></a><tt class="py-lineno">356</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L357"></a><tt class="py-lineno">357</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L358"></a><tt class="py-lineno">358</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L359"></a><tt class="py-lineno">359</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L360"></a><tt class="py-lineno">360</tt>  <tt class="py-line">        <tt class="py-name">t</tt> <tt class="py-op">=</tt> <tt id="link-33" class="py-name"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-33', 'exp', 'link-1');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">*</tt> <tt class="py-op">(</tt><tt id="link-34" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-34', 'x', 'link-7');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L361"></a><tt class="py-lineno">361</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">*</tt> <tt class="py-name">t</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-number">1</tt> <tt class="py-op">+</tt> <tt class="py-name">t</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
</div></div><a name="L362"></a><tt class="py-lineno">362</tt>  <tt class="py-line"> </tt>
<a name="L363"></a><tt class="py-lineno">363</tt>  <tt class="py-line"><tt class="py-name">Logistic</tt> <tt class="py-op">=</tt> <tt id="link-35" class="py-name" targets="Class peach.nn.af.Sigmoid=peach.nn.af.Sigmoid-class.html"><a title="peach.nn.af.Sigmoid" class="py-name" href="#" onclick="return doclink('link-35', 'Sigmoid', 'link-35');">Sigmoid</a></tt> </tt>
<a name="L364"></a><tt class="py-lineno">364</tt>  <tt class="py-line"><tt class="py-string">'''An alias to ``Sigmoid``'''</tt> </tt>
<a name="L365"></a><tt class="py-lineno">365</tt>  <tt class="py-line"> </tt>
<a name="L366"></a><tt class="py-lineno">366</tt>  <tt class="py-line"> </tt>
<a name="L367"></a><tt class="py-lineno">367</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Signum"></a><div id="Signum-def"><a name="L368"></a><tt class="py-lineno">368</tt> <a class="py-toggle" href="#" id="Signum-toggle" onclick="return toggle('Signum');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.Signum-class.html">Signum</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Signum-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Signum-expanded"><a name="L369"></a><tt class="py-lineno">369</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L370"></a><tt class="py-lineno">370</tt>  <tt class="py-line"><tt class="py-docstring">    Signum activation function</tt> </tt>
<a name="L371"></a><tt class="py-lineno">371</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Signum.__init__"></a><div id="Signum.__init__-def"><a name="L372"></a><tt class="py-lineno">372</tt> <a class="py-toggle" href="#" id="Signum.__init__-toggle" onclick="return toggle('Signum.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Signum-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Signum.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Signum.__init__-expanded"><a name="L373"></a><tt class="py-lineno">373</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L374"></a><tt class="py-lineno">374</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the object.</tt> </tt>
<a name="L375"></a><tt class="py-lineno">375</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L376"></a><tt class="py-lineno">376</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-36" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-36', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L377"></a><tt class="py-lineno">377</tt>  <tt class="py-line"> </tt>
<a name="Signum.__call__"></a><div id="Signum.__call__-def"><a name="L378"></a><tt class="py-lineno">378</tt> <a class="py-toggle" href="#" id="Signum.__call__-toggle" onclick="return toggle('Signum.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Signum-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Signum.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Signum.__call__-expanded"><a name="L379"></a><tt class="py-lineno">379</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L380"></a><tt class="py-lineno">380</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L381"></a><tt class="py-lineno">381</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L382"></a><tt class="py-lineno">382</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L383"></a><tt class="py-lineno">383</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L384"></a><tt class="py-lineno">384</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L385"></a><tt class="py-lineno">385</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L386"></a><tt class="py-lineno">386</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L387"></a><tt class="py-lineno">387</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L388"></a><tt class="py-lineno">388</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L389"></a><tt class="py-lineno">389</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L390"></a><tt class="py-lineno">390</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L391"></a><tt class="py-lineno">391</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L392"></a><tt class="py-lineno">392</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L393"></a><tt class="py-lineno">393</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-37" class="py-name"><a title="peach.nn.mem.sign
peach.nn.nnet.sign
peach.nn.rbfn.sign
peach.pso.base.sign" class="py-name" href="#" onclick="return doclink('link-37', 'sign', 'link-6');">sign</a></tt><tt class="py-op">(</tt><tt id="link-38" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-38', 'x', 'link-7');">x</a></tt><tt class="py-op">)</tt> </tt>
</div><a name="L394"></a><tt class="py-lineno">394</tt>  <tt class="py-line"> </tt>
<a name="Signum.derivative"></a><div id="Signum.derivative-def"><a name="L395"></a><tt class="py-lineno">395</tt> <a class="py-toggle" href="#" id="Signum.derivative-toggle" onclick="return toggle('Signum.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Signum-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Signum.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Signum.derivative-expanded"><a name="L396"></a><tt class="py-lineno">396</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L397"></a><tt class="py-lineno">397</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative. Technically, this function doesn't have a</tt> </tt>
<a name="L398"></a><tt class="py-lineno">398</tt>  <tt class="py-line"><tt class="py-docstring">        derivative, but making it equals to 1, this can be used in learning</tt> </tt>
<a name="L399"></a><tt class="py-lineno">399</tt>  <tt class="py-line"><tt class="py-docstring">        algorithms.</tt> </tt>
<a name="L400"></a><tt class="py-lineno">400</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L401"></a><tt class="py-lineno">401</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L402"></a><tt class="py-lineno">402</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L403"></a><tt class="py-lineno">403</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L404"></a><tt class="py-lineno">404</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L405"></a><tt class="py-lineno">405</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L406"></a><tt class="py-lineno">406</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L407"></a><tt class="py-lineno">407</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L408"></a><tt class="py-lineno">408</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L409"></a><tt class="py-lineno">409</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L410"></a><tt class="py-lineno">410</tt>  <tt class="py-line">        <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
<a name="L411"></a><tt class="py-lineno">411</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-name">ones</tt><tt class="py-op">(</tt><tt id="link-39" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-39', 'x', 'link-7');">x</a></tt><tt class="py-op">.</tt><tt id="link-40" class="py-name"><a title="peach.nn.base.Layer.shape" class="py-name" href="#" onclick="return doclink('link-40', 'shape', 'link-17');">shape</a></tt><tt class="py-op">)</tt> </tt>
<a name="L412"></a><tt class="py-lineno">412</tt>  <tt class="py-line">        <tt class="py-keyword">except</tt> <tt class="py-name">AttributeError</tt><tt class="py-op">:</tt> </tt>
<a name="L413"></a><tt class="py-lineno">413</tt>  <tt class="py-line">            <tt class="py-keyword">return</tt> <tt class="py-number">1.0</tt> </tt>
</div></div><a name="L414"></a><tt class="py-lineno">414</tt>  <tt class="py-line"> </tt>
<a name="L415"></a><tt class="py-lineno">415</tt>  <tt class="py-line"> </tt>
<a name="L416"></a><tt class="py-lineno">416</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="ArcTan"></a><div id="ArcTan-def"><a name="L417"></a><tt class="py-lineno">417</tt> <a class="py-toggle" href="#" id="ArcTan-toggle" onclick="return toggle('ArcTan');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.ArcTan-class.html">ArcTan</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="ArcTan-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="ArcTan-expanded"><a name="L418"></a><tt class="py-lineno">418</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L419"></a><tt class="py-lineno">419</tt>  <tt class="py-line"><tt class="py-docstring">    Inverse tangent activation function</tt> </tt>
<a name="L420"></a><tt class="py-lineno">420</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="ArcTan.__init__"></a><div id="ArcTan.__init__-def"><a name="L421"></a><tt class="py-lineno">421</tt> <a class="py-toggle" href="#" id="ArcTan.__init__-toggle" onclick="return toggle('ArcTan.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.ArcTan-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="ArcTan.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="ArcTan.__init__-expanded"><a name="L422"></a><tt class="py-lineno">422</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L423"></a><tt class="py-lineno">423</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the object</tt> </tt>
<a name="L424"></a><tt class="py-lineno">424</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L425"></a><tt class="py-lineno">425</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L426"></a><tt class="py-lineno">426</tt>  <tt class="py-line"><tt class="py-docstring">          a</tt> </tt>
<a name="L427"></a><tt class="py-lineno">427</tt>  <tt class="py-line"><tt class="py-docstring">            The slope of the function in the center ``x0``. Defaults to 1.0.</tt> </tt>
<a name="L428"></a><tt class="py-lineno">428</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L429"></a><tt class="py-lineno">429</tt>  <tt class="py-line"><tt class="py-docstring">            The center of the sigmoid. Defaults to 0.0.</tt> </tt>
<a name="L430"></a><tt class="py-lineno">430</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L431"></a><tt class="py-lineno">431</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
<a name="L432"></a><tt class="py-lineno">432</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L433"></a><tt class="py-lineno">433</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-41" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-41', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L434"></a><tt class="py-lineno">434</tt>  <tt class="py-line"> </tt>
<a name="ArcTan.__call__"></a><div id="ArcTan.__call__-def"><a name="L435"></a><tt class="py-lineno">435</tt> <a class="py-toggle" href="#" id="ArcTan.__call__-toggle" onclick="return toggle('ArcTan.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.ArcTan-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="ArcTan.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="ArcTan.__call__-expanded"><a name="L436"></a><tt class="py-lineno">436</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L437"></a><tt class="py-lineno">437</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L438"></a><tt class="py-lineno">438</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L439"></a><tt class="py-lineno">439</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L440"></a><tt class="py-lineno">440</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L441"></a><tt class="py-lineno">441</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L442"></a><tt class="py-lineno">442</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L443"></a><tt class="py-lineno">443</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L444"></a><tt class="py-lineno">444</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L445"></a><tt class="py-lineno">445</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L446"></a><tt class="py-lineno">446</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L447"></a><tt class="py-lineno">447</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L448"></a><tt class="py-lineno">448</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L449"></a><tt class="py-lineno">449</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L450"></a><tt class="py-lineno">450</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">/</tt> <tt id="link-42" class="py-name"><a title="peach.fuzzy.control.pi
peach.nn.mem.pi
peach.nn.nnet.pi
peach.nn.rbfn.pi" class="py-name" href="#" onclick="return doclink('link-42', 'pi', 'link-2');">pi</a></tt> <tt class="py-op">*</tt> <tt id="link-43" class="py-name"><a title="peach.nn.mem.arctan
peach.nn.nnet.arctan
peach.nn.rbfn.arctan" class="py-name" href="#" onclick="return doclink('link-43', 'arctan', 'link-3');">arctan</a></tt><tt class="py-op">(</tt><tt id="link-44" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-44', 'x', 'link-7');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> </tt>
</div><a name="L451"></a><tt class="py-lineno">451</tt>  <tt class="py-line"> </tt>
<a name="ArcTan.derivative"></a><div id="ArcTan.derivative-def"><a name="L452"></a><tt class="py-lineno">452</tt> <a class="py-toggle" href="#" id="ArcTan.derivative-toggle" onclick="return toggle('ArcTan.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.ArcTan-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="ArcTan.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="ArcTan.derivative-expanded"><a name="L453"></a><tt class="py-lineno">453</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L454"></a><tt class="py-lineno">454</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative.</tt> </tt>
<a name="L455"></a><tt class="py-lineno">455</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L456"></a><tt class="py-lineno">456</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L457"></a><tt class="py-lineno">457</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L458"></a><tt class="py-lineno">458</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L459"></a><tt class="py-lineno">459</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L460"></a><tt class="py-lineno">460</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L461"></a><tt class="py-lineno">461</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L462"></a><tt class="py-lineno">462</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L463"></a><tt class="py-lineno">463</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L464"></a><tt class="py-lineno">464</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L465"></a><tt class="py-lineno">465</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">/</tt> <tt id="link-45" class="py-name"><a title="peach.fuzzy.control.pi
peach.nn.mem.pi
peach.nn.nnet.pi
peach.nn.rbfn.pi" class="py-name" href="#" onclick="return doclink('link-45', 'pi', 'link-2');">pi</a></tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-number">1.0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt id="link-46" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-46', 'x', 'link-7');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L466"></a><tt class="py-lineno">466</tt>  <tt class="py-line"> </tt>
<a name="L467"></a><tt class="py-lineno">467</tt>  <tt class="py-line"> </tt>
<a name="L468"></a><tt class="py-lineno">468</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="TanH"></a><div id="TanH-def"><a name="L469"></a><tt class="py-lineno">469</tt> <a class="py-toggle" href="#" id="TanH-toggle" onclick="return toggle('TanH');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.TanH-class.html">TanH</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="TanH-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="TanH-expanded"><a name="L470"></a><tt class="py-lineno">470</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L471"></a><tt class="py-lineno">471</tt>  <tt class="py-line"><tt class="py-docstring">    Hyperbolic tangent activation function</tt> </tt>
<a name="L472"></a><tt class="py-lineno">472</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="TanH.__init__"></a><div id="TanH.__init__-def"><a name="L473"></a><tt class="py-lineno">473</tt> <a class="py-toggle" href="#" id="TanH.__init__-toggle" onclick="return toggle('TanH.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.TanH-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">a</tt> <tt class="py-op">=</tt> <tt class="py-number">1.0</tt><tt class="py-op">,</tt> <tt class="py-param">x0</tt> <tt class="py-op">=</tt> <tt class="py-number">0.0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="TanH.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="TanH.__init__-expanded"><a name="L474"></a><tt class="py-lineno">474</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L475"></a><tt class="py-lineno">475</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the object</tt> </tt>
<a name="L476"></a><tt class="py-lineno">476</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L477"></a><tt class="py-lineno">477</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L478"></a><tt class="py-lineno">478</tt>  <tt class="py-line"><tt class="py-docstring">          a</tt> </tt>
<a name="L479"></a><tt class="py-lineno">479</tt>  <tt class="py-line"><tt class="py-docstring">            The slope of the function in the center ``x0``. Defaults to 1.0.</tt> </tt>
<a name="L480"></a><tt class="py-lineno">480</tt>  <tt class="py-line"><tt class="py-docstring">          x0</tt> </tt>
<a name="L481"></a><tt class="py-lineno">481</tt>  <tt class="py-line"><tt class="py-docstring">            The center of the sigmoid. Defaults to 0.0.</tt> </tt>
<a name="L482"></a><tt class="py-lineno">482</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L483"></a><tt class="py-lineno">483</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
<a name="L484"></a><tt class="py-lineno">484</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x0</tt><tt class="py-op">)</tt> </tt>
<a name="L485"></a><tt class="py-lineno">485</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-47" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-47', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L486"></a><tt class="py-lineno">486</tt>  <tt class="py-line"> </tt>
<a name="TanH.__call__"></a><div id="TanH.__call__-def"><a name="L487"></a><tt class="py-lineno">487</tt> <a class="py-toggle" href="#" id="TanH.__call__-toggle" onclick="return toggle('TanH.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.TanH-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="TanH.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="TanH.__call__-expanded"><a name="L488"></a><tt class="py-lineno">488</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L489"></a><tt class="py-lineno">489</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L490"></a><tt class="py-lineno">490</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L491"></a><tt class="py-lineno">491</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L492"></a><tt class="py-lineno">492</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L493"></a><tt class="py-lineno">493</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L494"></a><tt class="py-lineno">494</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L495"></a><tt class="py-lineno">495</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L496"></a><tt class="py-lineno">496</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L497"></a><tt class="py-lineno">497</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L498"></a><tt class="py-lineno">498</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L499"></a><tt class="py-lineno">499</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L500"></a><tt class="py-lineno">500</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L501"></a><tt class="py-lineno">501</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L502"></a><tt class="py-lineno">502</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">*</tt> <tt id="link-48" class="py-name"><a title="peach.nn.mem.tanh
peach.nn.nnet.tanh
peach.nn.rbfn.tanh" class="py-name" href="#" onclick="return doclink('link-48', 'tanh', 'link-4');">tanh</a></tt><tt class="py-op">(</tt><tt id="link-49" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-49', 'x', 'link-7');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt> </tt>
</div><a name="L503"></a><tt class="py-lineno">503</tt>  <tt class="py-line"> </tt>
<a name="TanH.derivative"></a><div id="TanH.derivative-def"><a name="L504"></a><tt class="py-lineno">504</tt> <a class="py-toggle" href="#" id="TanH.derivative-toggle" onclick="return toggle('TanH.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.TanH-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="TanH.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="TanH.derivative-expanded"><a name="L505"></a><tt class="py-lineno">505</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L506"></a><tt class="py-lineno">506</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative.</tt> </tt>
<a name="L507"></a><tt class="py-lineno">507</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L508"></a><tt class="py-lineno">508</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L509"></a><tt class="py-lineno">509</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L510"></a><tt class="py-lineno">510</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L511"></a><tt class="py-lineno">511</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L512"></a><tt class="py-lineno">512</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L513"></a><tt class="py-lineno">513</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L514"></a><tt class="py-lineno">514</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L515"></a><tt class="py-lineno">515</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L516"></a><tt class="py-lineno">516</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L517"></a><tt class="py-lineno">517</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__a</tt> <tt class="py-op">/</tt> <tt id="link-50" class="py-name"><a title="peach.nn.mem.cosh
peach.nn.nnet.cosh
peach.nn.rbfn.cosh" class="py-name" href="#" onclick="return doclink('link-50', 'cosh', 'link-5');">cosh</a></tt><tt class="py-op">(</tt><tt id="link-51" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-51', 'x', 'link-7');">x</a></tt> <tt class="py-op">-</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">__x0</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
</div></div><a name="L518"></a><tt class="py-lineno">518</tt>  <tt class="py-line"> </tt>
<a name="L519"></a><tt class="py-lineno">519</tt>  <tt class="py-line"> </tt>
<a name="L520"></a><tt class="py-lineno">520</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L521"></a><tt class="py-lineno">521</tt>  <tt class="py-line"><tt class="py-comment"># Radial Basis Functions</tt> </tt>
<a name="RadialBasis"></a><div id="RadialBasis-def"><a name="L522"></a><tt class="py-lineno">522</tt> <a class="py-toggle" href="#" id="RadialBasis-toggle" onclick="return toggle('RadialBasis');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.RadialBasis-class.html">RadialBasis</a><tt class="py-op">(</tt><tt class="py-base-class">Activation</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="RadialBasis-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="RadialBasis-expanded"><a name="L523"></a><tt class="py-lineno">523</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L524"></a><tt class="py-lineno">524</tt>  <tt class="py-line"><tt class="py-docstring">    This class is used as a base class for radial basis functions (RBFs). It is</tt> </tt>
<a name="L525"></a><tt class="py-lineno">525</tt>  <tt class="py-line"><tt class="py-docstring">    in almost every aspect equal to ``Activation`` class, but it is used to</tt> </tt>
<a name="L526"></a><tt class="py-lineno">526</tt>  <tt class="py-line"><tt class="py-docstring">    distinguish the two types. RBFs are used in Radial Basis Function Networks,</tt> </tt>
<a name="L527"></a><tt class="py-lineno">527</tt>  <tt class="py-line"><tt class="py-docstring">    in which monotonic activations shouldn't be used.</tt> </tt>
<a name="L528"></a><tt class="py-lineno">528</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L529"></a><tt class="py-lineno">529</tt>  <tt class="py-line"><tt class="py-docstring">    Since it is symmetric according to the origin, a RBF takes no parameters in</tt> </tt>
<a name="L530"></a><tt class="py-lineno">530</tt>  <tt class="py-line"><tt class="py-docstring">    its creation.</tt> </tt>
<a name="L531"></a><tt class="py-lineno">531</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="L532"></a><tt class="py-lineno">532</tt>  <tt class="py-line">    <tt class="py-keyword">pass</tt> </tt>
</div><a name="L533"></a><tt class="py-lineno">533</tt>  <tt class="py-line"> </tt>
<a name="L534"></a><tt class="py-lineno">534</tt>  <tt class="py-line"> </tt>
<a name="L535"></a><tt class="py-lineno">535</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="Gaussian"></a><div id="Gaussian-def"><a name="L536"></a><tt class="py-lineno">536</tt> <a class="py-toggle" href="#" id="Gaussian-toggle" onclick="return toggle('Gaussian');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="peach.nn.af.Gaussian-class.html">Gaussian</a><tt class="py-op">(</tt><tt class="py-base-class">RadialBasis</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Gaussian-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Gaussian-expanded"><a name="L537"></a><tt class="py-lineno">537</tt>  <tt class="py-line">    <tt class="py-docstring">'''</tt> </tt>
<a name="L538"></a><tt class="py-lineno">538</tt>  <tt class="py-line"><tt class="py-docstring">    Gaussian activation function</tt> </tt>
<a name="L539"></a><tt class="py-lineno">539</tt>  <tt class="py-line"><tt class="py-docstring">    '''</tt> </tt>
<a name="Gaussian.__init__"></a><div id="Gaussian.__init__-def"><a name="L540"></a><tt class="py-lineno">540</tt> <a class="py-toggle" href="#" id="Gaussian.__init__-toggle" onclick="return toggle('Gaussian.__init__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Gaussian-class.html#__init__">__init__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Gaussian.__init__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Gaussian.__init__-expanded"><a name="L541"></a><tt class="py-lineno">541</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L542"></a><tt class="py-lineno">542</tt>  <tt class="py-line"><tt class="py-docstring">        Initializes the object. Takes no parameters</tt> </tt>
<a name="L543"></a><tt class="py-lineno">543</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L544"></a><tt class="py-lineno">544</tt>  <tt class="py-line">        <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">d</tt> <tt class="py-op">=</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt id="link-52" class="py-name"><a title="peach.nn.af.Activation.derivative
peach.nn.af.ArcTan.derivative
peach.nn.af.Gaussian.derivative
peach.nn.af.Linear.derivative
peach.nn.af.Ramp.derivative
peach.nn.af.Sigmoid.derivative
peach.nn.af.Signum.derivative
peach.nn.af.TanH.derivative
peach.nn.af.Threshold.derivative" class="py-name" href="#" onclick="return doclink('link-52', 'derivative', 'link-9');">derivative</a></tt> </tt>
</div><a name="L545"></a><tt class="py-lineno">545</tt>  <tt class="py-line"> </tt>
<a name="Gaussian.__call__"></a><div id="Gaussian.__call__-def"><a name="L546"></a><tt class="py-lineno">546</tt> <a class="py-toggle" href="#" id="Gaussian.__call__-toggle" onclick="return toggle('Gaussian.__call__');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Gaussian-class.html#__call__">__call__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Gaussian.__call__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Gaussian.__call__-expanded"><a name="L547"></a><tt class="py-lineno">547</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L548"></a><tt class="py-lineno">548</tt>  <tt class="py-line"><tt class="py-docstring">        Call interface to the object.</tt> </tt>
<a name="L549"></a><tt class="py-lineno">549</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L550"></a><tt class="py-lineno">550</tt>  <tt class="py-line"><tt class="py-docstring">        This method applies the activation function over a vector of activation</tt> </tt>
<a name="L551"></a><tt class="py-lineno">551</tt>  <tt class="py-line"><tt class="py-docstring">        potentials, and returns the results.</tt> </tt>
<a name="L552"></a><tt class="py-lineno">552</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L553"></a><tt class="py-lineno">553</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L554"></a><tt class="py-lineno">554</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L555"></a><tt class="py-lineno">555</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L556"></a><tt class="py-lineno">556</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L557"></a><tt class="py-lineno">557</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L558"></a><tt class="py-lineno">558</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L559"></a><tt class="py-lineno">559</tt>  <tt class="py-line"><tt class="py-docstring">          The activation function applied over the input vector.</tt> </tt>
<a name="L560"></a><tt class="py-lineno">560</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L561"></a><tt class="py-lineno">561</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt id="link-53" class="py-name"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-53', 'exp', 'link-1');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt id="link-54" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-54', 'x', 'link-7');">x</a></tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
</div><a name="L562"></a><tt class="py-lineno">562</tt>  <tt class="py-line"> </tt>
<a name="Gaussian.derivative"></a><div id="Gaussian.derivative-def"><a name="L563"></a><tt class="py-lineno">563</tt> <a class="py-toggle" href="#" id="Gaussian.derivative-toggle" onclick="return toggle('Gaussian.derivative');">-</a><tt class="py-line">    <tt class="py-keyword">def</tt> <a class="py-def-name" href="peach.nn.af.Gaussian-class.html#derivative">derivative</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="Gaussian.derivative-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Gaussian.derivative-expanded"><a name="L564"></a><tt class="py-lineno">564</tt>  <tt class="py-line">        <tt class="py-docstring">'''</tt> </tt>
<a name="L565"></a><tt class="py-lineno">565</tt>  <tt class="py-line"><tt class="py-docstring">        The function derivative.</tt> </tt>
<a name="L566"></a><tt class="py-lineno">566</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L567"></a><tt class="py-lineno">567</tt>  <tt class="py-line"><tt class="py-docstring">        :Parameters:</tt> </tt>
<a name="L568"></a><tt class="py-lineno">568</tt>  <tt class="py-line"><tt class="py-docstring">          x</tt> </tt>
<a name="L569"></a><tt class="py-lineno">569</tt>  <tt class="py-line"><tt class="py-docstring">            A real number or a vector of real numbers representing the</tt> </tt>
<a name="L570"></a><tt class="py-lineno">570</tt>  <tt class="py-line"><tt class="py-docstring">            activation potential of a neuron or a layer of neurons.</tt> </tt>
<a name="L571"></a><tt class="py-lineno">571</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L572"></a><tt class="py-lineno">572</tt>  <tt class="py-line"><tt class="py-docstring">        :Returns:</tt> </tt>
<a name="L573"></a><tt class="py-lineno">573</tt>  <tt class="py-line"><tt class="py-docstring">          The derivative of the activation function applied over the input</tt> </tt>
<a name="L574"></a><tt class="py-lineno">574</tt>  <tt class="py-line"><tt class="py-docstring">          vector.</tt> </tt>
<a name="L575"></a><tt class="py-lineno">575</tt>  <tt class="py-line"><tt class="py-docstring">        '''</tt> </tt>
<a name="L576"></a><tt class="py-lineno">576</tt>  <tt class="py-line">        <tt class="py-keyword">return</tt> <tt class="py-op">-</tt><tt class="py-number">2.</tt><tt class="py-op">*</tt><tt id="link-55" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-55', 'x', 'link-7');">x</a></tt><tt class="py-op">*</tt><tt id="link-56" class="py-name"><a title="peach.fuzzy.control.exp
peach.nn.mem.exp
peach.nn.nnet.exp
peach.nn.rbfn.exp" class="py-name" href="#" onclick="return doclink('link-56', 'exp', 'link-1');">exp</a></tt><tt class="py-op">(</tt><tt class="py-op">-</tt><tt id="link-57" class="py-name"><a title="peach.fuzzy.cmeans.FuzzyCMeans.x
peach.optm.linear.Direct1D.x
peach.optm.linear.GoldenRule.x
peach.optm.linear.Interpolation.x
peach.optm.multivar.Direct.x
peach.optm.multivar.Gradient.x
peach.optm.multivar.MomentumGradient.x
peach.optm.multivar.Newton.x
peach.optm.quasinewton.DFP.x
peach.optm.quasinewton.SR1.x
peach.sa.base.BinarySA.x
peach.sa.base.ContinuousSA.x" class="py-name" href="#" onclick="return doclink('link-57', 'x', 'link-7');">x</a></tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
</div></div><a name="L577"></a><tt class="py-lineno">577</tt>  <tt class="py-line"> </tt>
<a name="L578"></a><tt class="py-lineno">578</tt>  <tt class="py-line"> </tt>
<a name="L579"></a><tt class="py-lineno">579</tt>  <tt class="py-line"><tt class="py-comment">################################################################################</tt> </tt>
<a name="L580"></a><tt class="py-lineno">580</tt>  <tt class="py-line"><tt class="py-comment"># Test</tt> </tt>
<a name="L581"></a><tt class="py-lineno">581</tt>  <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt><tt class="py-op">:</tt> </tt>
<a name="L582"></a><tt class="py-lineno">582</tt>  <tt class="py-line">    <tt class="py-keyword">pass</tt> </tt>
<a name="L583"></a><tt class="py-lineno">583</tt>  <tt class="py-line"> </tt><script type="text/javascript">
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